# Measures homework help

1. Dec 3, 2011

### Riam

The question: Show that X $\subset$ $\Re^n$ has measure 0 if and only if ε > 0 there exists an infinite sequence of balls
B_i ={ x $\in$ R^n| |x-a_i | < r_i} with $\sum$ < ε such that X $\subset$ $\cup$_{i=1} ^$\infty$ B_i